Answer
30
Work Step by Step
The volume is a right angled prism of length 4 with sides 3
and $5,$ with intercepts of $1=x / 3+z / 5$ The volume can be evaluated as
\[
\int_{0}^{4} \int_{0}^{3}(5-5 x / 3) d x d y
\]
Evaluating the integral:
$$V=30$$
